Show the graph of the 3/3
Mathematics
ScanSolve AI Answer
Answer
To show the graph, you would plot the Cost and Revenue functions on a coordinate plane.
Use the left and right arrow keys to trace the curve, up and down to jump between key points, and plus and minus to zoom.
| Point | x | y |
|---|---|---|
| x-intercept | 0 | 0 |
Step-by-step solution
4 stepsSet up the axes.
- The horizontal axis (x-axis) represents the Number of Bottles Produced and Sold.
- The vertical axis (y-axis) represents Total Cost/Revenue (₦).
Plot the Cost Function .
- This is a straight line.
- Y-intercept (Fixed Cost): When , . Plot the point .
- Cost at Maximum Annual Capacity: When , . Plot the point .
- Draw a straight line connecting these two points.
Plot the Revenue Function .
- This is also a straight line.
- Origin: When , . Plot the point .
- Revenue at Maximum Annual Capacity: When , . Plot the point .
- Draw a straight line connecting these two points.
Identify the Break-Even Point.
- The break-even point is where the Cost line and the Revenue line intersect.
- From the previous calculation, the break-even point is approximately . Mark this intersection point on your graph.
Description of the Graph:
You will see two straight lines originating from the y-axis.- The Cost line starts at ₦10,000 on the y-axis and slopes upwards.
- The Revenue line starts at ₦0 (the origin) and slopes upwards more steeply than the cost line.
- The point where these two lines cross is the break-even point. To the left of this point, the cost line is above the revenue line, indicating a loss. To the right of this point, the revenue line is above the cost line, indicating a profit.
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